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Finding the Fourth Proportional to 13,886.64, 20,812.08 and 5,111.16

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Solution

The fourth proportional to 13,886.64, 20,812.08 and 5,111.16 is: 7,660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.64 : 20,812.08 = 5,111.16 : x
  2. Step 2: Convert to fraction form
    13,886.64/20,812.08 = 5,111.16/x
  3. Step 3: Cross multiply
    13,886.64x = 20,812.08 × 5,111.16
  4. Step 4: Simplify right side
    13,886.64x = 106,373,870.81
  5. Step 5: Solve for x
    x = 106,373,870.81/13,886.64
  6. Step 6: Final answer
    x = 7,660.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.